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495713088 = 26331322067
BaseRepresentation
bin11101100010111…
…111101101000000
31021112202211112000
4131202333231000
52003400304323
6121104504000
715166330443
oct3542775500
91245684460
10495713088
112348a9642
1211a01b000
137b913a70
1449b9b65a
152d7bce43
hex1d8bfb40

495713088 has 112 divisors (see below), whose sum is σ = 1569476160. Its totient is φ = 152520192.

The previous prime is 495713077. The next prime is 495713107. The reversal of 495713088 is 880317594.

495713088 is a `hidden beast` number, since 49 + 571 + 30 + 8 + 8 = 666.

It is a super-2 number, since 2×4957130882 = 491462931228991488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11431 + ... + 33497.

It is an arithmetic number, because the mean of its divisors is an integer number (14013180).

Almost surely, 2495713088 is an apocalyptic number.

495713088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495713088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784738080).

495713088 is an abundant number, since it is smaller than the sum of its proper divisors (1073763072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

495713088 is a wasteful number, since it uses less digits than its factorization.

495713088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22101 (or 22085 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 495713088 is about 22264.6151549943. The cubic root of 495713088 is about 791.4256625779.

The spelling of 495713088 in words is "four hundred ninety-five million, seven hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22067 22464 44134 66201 88268 132402 176536 198603 264804 286871 353072 397206 529608 573742 595809 706144 794412 860613 1059216 1147484 1191618 1412288 1588824 1721226 2118432 2294968 2383236 2581839 3177648 3442452 4236864 4589936 4766472 5163678 6355296 6884904 7745517 9179872 9532944 10327356 12710592 13769808 15491034 18359744 19065888 20654712 27539616 30982068 38131776 41309424 55079232 61964136 82618848 123928272 165237696 247856544 495713088